JournalsdmVol. 18pp. 997–1038

On Artin representations and nearly ordinary Hecke algebras over totally real fields

  • Shu Sasaki

    Universität Duisburg-Essen Fakultät für Mathematik Thea-Leymann-Str. 9 45127 Essen, Germany
On Artin representations and nearly ordinary Hecke algebras over totally real fields cover
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Abstract

We prove many new cases of the strong Artin conjecture for two-dimensional, totally odd, insoluble (icosahedral) representations Gal(F‾/F)→GL2(C)\mathrm{Gal}(\overline{F}/F)\rightarrow GL_2(\mathbf{C}) of the absolute Galois group of a totally real field FF.

Cite this article

Shu Sasaki, On Artin representations and nearly ordinary Hecke algebras over totally real fields. Doc. Math. 18 (2013), pp. 997–1038

DOI 10.4171/DM/419